Slope From Two Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinates divided by the change in the x-coordinates between two points on the line.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (2, 3) and (5, 11).

Back

The slope is m = (11 - 3) / (5 - 2) = 8 / 3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-value regardless of the change in the x-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in the x-value is 0, leading to division by zero in the slope formula.

Front

Find the slope of the line that passes through the points (-1, 2) and (3, 6).

Back

The slope is m = (6 - 2) / (3 - (-1)) = 4 / 4 = 1.

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (0, 0) and (4, 8).

Back

The slope is m = (8 - 0) / (4 - 0) = 8 / 4 = 2.